For these problems, x will represent the number of items and y will represent the money.

Question

For these problems, xx will represent the number of items and yy will represent the money.

The fixed costs for a certain item are $155 per week. The cost to produce each item is $3 per item.

Using this information, what is the cost equation? Give your answer in slope-intercept form:

y=y=  

The retailer intends to sell each item for $9/item.

Using this information, what is the revenue equation? Give your answer in slope-intercept form:

y=y=  

If in this week 18 items are made, and all items are sold in the week, what are the total costs to the retailer?

Cost = $

What is the revenue from selling 18 items?

Revenue = $

Finally, what is the profit for this retailer?

Profit = $

Answer 1

Costs = C = y = 3x + 155 in slope intercept form. slope =3 intercept = 155

Revenue = R = 9x in slope intercept form. slope = 9, intercept = 0

C(18) = 3(18) + 155 = 54+155 = $209

y(18) = $209

R(18) = 9(18) = $162

y(18) = $162

Profit = P(x) = 9x -3x -155

= 6x -155

P(18) = 6(18) - 155

= 108 - 155

= - $47 "Profit"

= Loss of $47